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Difference between revisions of "User:Ulf Rehmann/Test"

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(Created page with "$e^{2\pi i}$")
 
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$e^{2\pi i}$
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<center>
 +
<asy>
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size(0,100);
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pair z1=(-1,0);
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pair z2=(1,0);
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real r=1.5;
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path c1=circle(z1,r);
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path c2=circle(z2,r);
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fill(c1, lightred);
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fill(c2, lightgreen);
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picture intersection;
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fill(intersection,c1,lightred+lightgreen);
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clip(intersection,c2);
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add(intersection);
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draw(c1);
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draw(c2);
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label("$A$",z1);
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label("$B$",z2);
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path g=(0,-2)--(0,-0.25);
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draw(Label("$A\cap B$",0),g,Arrow);
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</asy>
 +
 
 +
 
 +
<asy>
 +
size(0,2cm);
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draw((0,0)--(1,0)--(1,1)--(0,1)--cycle);
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label("$W$",(0,0),SW);
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label("$X$",(1,0),SE);
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label("$Y$",(1,1),NE);
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label("$Z$",(0,1),NW);
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</asy>  ------------------------------- <asy>
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import three;
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currentprojection=orthographic(5,4,2,center=true);
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size(5cm);
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size3(3cm,5cm,8cm);
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draw(unitbox);
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dot(unitbox,red);
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label("$O$",(0,0,0),NW);
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label("(1,0,0)",(1,0,0),S);
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label("(0,1,0)",(0,1,0),E);
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label("(0,0,1)",(0,0,1),Z);
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</asy>
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<asy>
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import three;
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size(500);
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path3 g=(1,0,0)..(0,1,0)..(-1,0,0)..(0,-1,0)..cycle;
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draw(g);
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draw(O--Z,red+dashed,Arrow3);
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draw(((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle));
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dot(g,red);
 +
 
 +
 
 +
size(500,0);
 +
path3 g=(1,0,0)..(0,1,1)..(-1,0,0)..(0,-1,1)..cycle;
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draw(g);
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draw(((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle));
 +
dot(g,red);
 +
</asy>
 +
 
 +
 
 +
</center>

Revision as of 11:11, 13 June 2012


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How to Cite This Entry:
Ulf Rehmann/Test. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Ulf_Rehmann/Test&oldid=27002
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